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34666868100 = 22352162171287
BaseRepresentation
bin100000010010010011…
…100110110110000100
310022110222211100212210
4200102103212312010
51031444204234400
623531543143420
72335035342204
oct402223466604
9108428740783
1034666868100
111377a5a8117
126875a44b70
1333661c5507
14196c190404
15d7d6c9950
hex8124e6d84

34666868100 has 72 divisors (see below), whose sum is σ = 100366090048. Its totient is φ = 9238665600.

The previous prime is 34666868087. The next prime is 34666868113. The reversal of 34666868100 is 186866643.

It is an interprime number because it is at equal distance from previous prime (34666868087) and next prime (34666868113).

It is a super-2 number, since 2×346668681002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34666868100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450657 + ... + 521943.

Almost surely, 234666868100 is an apocalyptic number.

34666868100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34666868100 is an abundant number, since it is smaller than the sum of its proper divisors (65699221948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34666868100 is a wasteful number, since it uses less digits than its factorization.

34666868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72925 (or 72918 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 34666868100 in words is "thirty-four billion, six hundred sixty-six million, eight hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1621 3242 4863 6484 8105 9726 16210 19452 24315 32420 40525 48630 71287 81050 97260 121575 142574 162100 213861 243150 285148 356435 427722 486300 712870 855444 1069305 1425740 1782175 2138610 3564350 4277220 5346525 7128700 10693050 21386100 115556227 231112454 346668681 462224908 577781135 693337362 1155562270 1386674724 1733343405 2311124540 2888905675 3466686810 5777811350 6933373620 8666717025 11555622700 17333434050 34666868100